Whether the gauge pressure at 500m below sea level will be game as gauge pressure at ground level? Give reason.
The answer lies in the definition of gauge pressure.
See, for example:
http://en.wikipedia.org/wiki/Pressure_measurement
The gauge pressure at 500 meters below sea level will not be the same as the gauge pressure at ground level. The reason for this is that gauge pressure is the pressure measured relative to atmospheric pressure.
At ground level, the pressure is affected by the weight of the air column above it, which is known as atmospheric pressure. As we move deeper into the sea, the pressure exerted by the water increases due to the weight of the water column above it. This increase in pressure is known as hydrostatic pressure.
When we go below sea level, the water column above us increases, resulting in a higher hydrostatic pressure. However, atmospheric pressure remains the same because the air column above us doesn't change significantly.
To calculate the gauge pressure at any given depth below sea level, we need to consider both atmospheric pressure and hydrostatic pressure. The gauge pressure is given by the formula:
Gauge Pressure = Hydrostatic Pressure - Atmospheric Pressure
Since the hydrostatic pressure increases with depth, the gauge pressure at 500 meters below sea level will be greater than the gauge pressure at ground level. This is because the hydrostatic pressure at 500 meters below sea level is higher, while the atmospheric pressure remains the same.
So, in conclusion, the gauge pressure at 500 meters below sea level will be higher than the gauge pressure at ground level because it takes into account the increase in hydrostatic pressure with depth.